114593440612224 has 256 divisors, whose sum is σ = 356010025536000. Its totient is φ = 31975341318144.

The previous prime is 114593440612219. The next prime is 114593440612237. The reversal of 114593440612224 is 422216044395411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932585862 + ... + 932708730.

It is an arithmetic number, because the mean of its divisors is an integer number (1390664162250).

Almost surely, 2^{114593440612224} is an apocalyptic number.

114593440612224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114593440612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178005012768000).

114593440612224 is an abundant number, since it is smaller than the sum of its proper divisors (241416584923776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114593440612224 is a wasteful number, since it uses less digits than its factorization.

114593440612224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131005 (or 130993 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 114593440612224 in words is "one hundred fourteen trillion, five hundred ninety-three billion, four hundred forty million, six hundred twelve thousand, two hundred twenty-four".